Finding the Third Proportional to 31,142 and 68,340

Step by Step Solution

1. Step 1: Write the proportion equation
   31,142 : 68,340 = 68,340 : x
2. Step 2: Convert to fraction form
   31,142/68,340 = 68,340/x
3. Step 3: Cross multiply
   31,142x = 68,340 × 68,340
4. Step 4: Simplify right side
   31,142x = 4,670,355,600
5. Step 5: Solve for x
   x = 4,670,355,600/31,142
6. Step 6: Final answer
   x = 149,969.67